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Practice Problem Solutions Electric Charge, Exercises of Mathematical Physics

Physics 121, Calculus based General Physics, Fall 2019, Dr. Rich Janow, New Jersey Institute of Technology (NJIT)

Typology: Exercises

2020/2021

Uploaded on 04/20/2021

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Fall 2012
Physics 121 Practice Problem Solutions 02
Electric Charge
Contents:
121P02 -1P, 2P, 5P, 9P, 10P, 13P, 15P
History
Electromagnetism
Electric Charge
Quantization of Charge
Structure of Matter
Conductors and Insulators
Conservation of Charge
Coulomb’s Law – Force
Shell Theorem
Examples
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pf4
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Physics 121 Practice Problem Solutions 02

Electric Charge

Contents:^ 121P02 -

1P, 2P, 5P, 9P, 10P

, 13P,^ 15P

•^ History •^ Electromagnetism •^ Electric Charge •^ Quantization of Charge •^ Structure of Matter •^ Conductors and Insulators •^ Conservation of Charge •^ Coulomb’s Law – Force •^ Shell Theorem •^ Examples

Fall 2012

PROBLEM 121P02- 1P: What must be the distance between point

charge^ q= 26.0^ μμμμ^1

C and

point charge^ q= -47.0^2

μμμμC for the^ electrostatic force

between them to have a magnitude of 5.70 N?

PROBLEM 121P02 - 5P: In the figure , what are the (a) horizontal and (b) verticalcomponents of the net

electrostatic force

on the charged particle in the lower left corner of

the square if^ q^ = 1.0x

-7^ C and^ a^ = 5.0 cm?

PROBLEM 121P02 - 9P: Two

free^ particles (that is, free to move) with charges +

q^ and +4^ q

are a distance^ L^ apart. A third

charge^ is placed so that the entire system is in equilibrium. (a) Find the location, magnitude, and sign of the third charge. (b) Show that theequilibrium is unstable.

PROBLEM 121P02 - 13P*: A certain

charge^ Q^ is divided into two parts

q^ and^ Q^ -^ q, which

are then separated by a certain distance. What must

q^ be in terms of^ Q^ to maximize the

electrostatic repulsion between the two charges?

PROBLEM 121P02 - 15P: In the figure, two tiny conducting balls of identical mass

m^ and identical^ charge

q^ hang from nonconducting threads of length

L. Assume that^ θθθθ^ is so small that tan

θθθθ^ can be replaced by its

approximate equal, sin

θθθθ. (a) Show that, for equilibrium, where^ x^ is the separation between the balls. (b) If

L^ = 120 cm,^ m^ = 10 g, and

x^ = 5.0 cm, what is^ q?